The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
From inside the book
Results 1-5 of 29
Page 215
... angle contained by that straight line , and another drawn from the point in which the first line meets the plane ... solid angle is that which is made by the meet- ing of more than two plane angles , which are not in the same plane , in ...
... angle contained by that straight line , and another drawn from the point in which the first line meets the plane ... solid angle is that which is made by the meet- ing of more than two plane angles , which are not in the same plane , in ...
Page 216
... solid figure contained by planes that are constituted betwixt one plane and one point above it in which they meet ... angle , which side remains fixed . If the fixed side be equal to the other side con- taining the right angle , the cone ...
... solid figure contained by planes that are constituted betwixt one plane and one point above it in which they meet ... angle , which side remains fixed . If the fixed side be equal to the other side con- taining the right angle , the cone ...
Page 217
... angle which revolves . XXI . A cylinder is a solid figure described by the re- volution of a right - angled parallelogram about one of its sides which remains fixed . XXII . The axis of a cylinder is the fixed straight line about which ...
... angle which revolves . XXI . A cylinder is a solid figure described by the re- volution of a right - angled parallelogram about one of its sides which remains fixed . XXII . The axis of a cylinder is the fixed straight line about which ...
Page 234
... angles to the third plane , except BD the common section of the planes AB , BC : therefore BD is perpendicular to the third plane . Wherefore , if two planes , & c . Q. E. D. 1 PROP . XX . THEOR . If a solid angle be contained by three ...
... angles to the third plane , except BD the common section of the planes AB , BC : therefore BD is perpendicular to the third plane . Wherefore , if two planes , & c . Q. E. D. 1 PROP . XX . THEOR . If a solid angle be contained by three ...
Page 235
... angle DAB is equal to the angle EAB : there- fore the base DB is equal to the base BE : and * 4.1 . because BD , DC ... solid angle , & c . Q. E.D. PROP . XXI . THEOR . Every solid angle is contained by plane angles , which together are ...
... angle DAB is equal to the angle EAB : there- fore the base DB is equal to the base BE : and * 4.1 . because BD , DC ... solid angle , & c . Q. E.D. PROP . XXI . THEOR . Every solid angle is contained by plane angles , which together are ...
Other editions - View all
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid No preview available - 2015 |
The Elements of Euclid: Viz. the First Six Books, Together With the Eleventh ... Euclid No preview available - 2023 |
Common terms and phrases
AB is equal altitude angle ABC angle ACB angle BAC angle EDF base BC base DEF BC is equal bisected centre circle ABCD circle EFGH circumference cone Const cylinder described diameter draw equal angles equal to AC equiangular equilateral equimultiples exterior angle fore given rectilineal given straight line gnomon inscribed join less Let ABC multiple parallel parallelogram perpendicular point F polygon prism PROB pyramid ABCG pyramid DEFH Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle solid CD solid parallelopiped sphere square of AC straight line AB straight line AC THEOR three plane angles tiple touches the circle triangle ABC triangle DEF triplicate ratio wherefore whole